Formulas are provided for: R2: Point to Line R3: Point to Line R3: Point to Plane Other cases can be reduced to one of the above: R2: Two parallel lines R3: Two parallel lines R3: Two parallel planes R3: Parallel line and plane R3: Skew (non-parallel, non-intersecting) lines

Three planes can be represented as a system of three equations in three unknowns. The various possible results are explored in this lesson.

A matrix (plural matrices) can be used as an alternate algebraic mechanical technique for solving a system of equations. This lesson focuses on three equations and three unknowns, but it scales upwards very easily.

Two planes in R3 can intersect along a line (infinite solutions) or along the entire plane (same plane, infinite solutions). The two planes can also be parallel but distinct (no solutions).